3/7x^2-x=1/7

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Solution for 3/7x^2-x=1/7 equation: 


x in (-oo:+oo)

(3/7)*x^2-x = 1/7 // - 1/7

(3/7)*x^2-x-(1/7) = 0

(3/7)*x^2-x-1/7 = 0

3/7*x^2-x-1/7 = 0

DELTA = (-1)^2-(-1/7*3/7*4)

DELTA = 61/49

DELTA > 0

x = ((61/49)^(1/2)+1)/(3/7*2) or x = (1-(61/49)^(1/2))/(3/7*2)

x = 7/6*((61/49)^(1/2)+1) or x = 7/6*(1-(61/49)^(1/2))

x in { 7/6*(1-(61/49)^(1/2)), 7/6*((61/49)^(1/2)+1) }

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